Answer:
242.5226626 mphStep-by-step explanation:
1 ft/s = 0.681818 mph
355.7 * 0.681818 = 242.5226626
355.7 ft/s = 242.5226626 mph
What should be added to -2 1/9 to get 11
Answer:
u should add 118/9
Step-by-step explanation:
please mark me as brainlest
Please answer all three questions Pleaseeeeee tysmm <3
Answer: 2 3/4 > 2.68 is correct (only)
Step-by-step explanation: 2 3/4 = 2.75, and 2.75 is greater than 2.68
The rest are incorrect. 7.895 * 10^2 (100) = 789.5, and 5.43 * 10^3 (1000) = 5430. So 789.5 > 5430 is false.
Sqrt(63) = 7.93, and 7.93 > 8.11 is false.
Absolute values ( | | ) mean that no matter if it is negative or positive, it will become positive (unless the negative sign is outside the absolute value). 1.5 > 3.2 is false, and even without the absolute value, -1.5 is still less than 3.2
Can anyone please help me with this question?
Karl receives his first mark of the year in his law course. He scores 94th percentile. What is his mark!?
Answer:
Even though only 6% of students scored higher than Karl, we cannot know his personal score based on his percentile. He could have gotten a 62, as long as everyone else [94% of the class] got an even lower score.
So, we cannot know Karl's mark, we are only able to understand Karl's score in relation to the rest of the students in his law course.
Emily is shopping at the toy store. In that store all dolls are sold at the same price and all dresses are sold at the same price. If Emily buys one doll and one dress, it will cost her $21.00. If Emily buys two dolls and three dresses, it will cost her $51.00. What is the price of one doll at that store?
Answer:
$12.
Step-by-step explanation:
1) if price of one doll is 'x', of one dress is 'y', then the condition 'buys one doll and one dress, it will cost her $21.00' can be written as x+y=21;
2) the condition 'buys two dolls and three dresses, it will cost her $51.00' can be written as 2x+3y=51;
3) it is possible to make up the system:
[tex]\left \{ {{x+y=21} \atop {2x+3y=51}} \right. \ = > \ \left \{ {{x=12} \atop {y=9}} \right.[/tex]
4) the price of one doll is 12$.
What is 2(x+3) / 4(x+1)
Answer:
x² + 4x + 3
---------------
2
---- => fraction line
Simplify cube root of 5 over fourth root of 5 . (5 points) 5 to the power of 1 over 4 5 to the power of 1 over 12 5 to the power of 7 over 12 5 to the power of 4 over 3
Answer:
[tex] {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt[3]{5} }{ \sqrt[4]{5} } = {5}^{ \frac{1}{3} } \div {5}^{ \frac{1}{4} } = {5}^{ \frac{4}{12} } \div {5}^{ \frac{3}{12} } = {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]
THIS IS THE ANSWER: 5 to the power of one-twelfth (Take a look at the image if this does not make sense) :))
:))
:))) HAPPY SLAPPY!!!!
:))))
"UPDATE" : This was correct on my test. Also I realized to see the image in this answer keep your cursor on the side of your screen, not on the image :D
If f(x) = x + 8 and g(x) = –4x – 3, find (f + g)(x).
A. (f + g)(x) = 5x + 11
B. (f + g)(x) = –3x + 5
C. (f + g)(x) = –5x – 11
D. (f + g)(x) = 3x – 5
Answer:
B
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= x + 8 - 4x - 3 ← collect like terms
= - 3x + 5
Answer:
[tex]\huge\boxed{\sf (f + g)(x) = -3x + 5}[/tex]
Step-by-step explanation:
Given functions:f(x) = x + 8g(x) = -4x - 3Solution:Add both functions
(f + g)(x) = x + 8 + (-4x - 3)
(f + g)(x) = x + 8 - 4x - 3
(f + g)(x) = x - 4x + 8 - 3
(f + g)(x) = -3x + 5
[tex]\rule[225]{225}{2}[/tex]
3. What are the roots of the polynomial y = x³ - 8?
Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.
[tex] {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]
Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.
[tex](x - 2)( {x}^{2} - 2x + 4)[/tex]
Set these equations equal to zero
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
[tex] {x}^{2} - 2x + 4 = 0[/tex]
If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.
[tex]1 + i \sqrt{ 3 } [/tex]
and
[tex]1 - i \sqrt{3} [/tex]
A student wants to simulate 37 birthdays, but she does not have a calculator or software program available, so she makes up 37 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not?
It is not okay to conduct the simulation because people generally favor some numbers.
How to illustrate the information?From the information given, the student wants to simulate 37 birthdays, but she does not have a calculator or software program available.
In this case, it's not okay to conduct the simulation because people generally favor some numbers.
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PWhat are the x- and y-intercepts of the line y = 4x + 12?
A. x-intercept = 3; y-intercept = -12
B. x-intercept = -3; y-intercept = 12
C. x-intercept = -12; y-intercept = 3
D. x-intercept = 12; y-intercept = -3
PLEASE HELP
Answer:
B
Step-by-step explanation:
when x is 0 y=4(0)+12 y=12
y is 0 y=4(-3) +12 = 12=12
Question is attached………
Answer:
d. 11:15
Step-by-step explanation:
1) officer1: distance 75 miles, velocity 60mil/h; officer2: distance 25 miles, velocity 55mil/h;
2) time, which is spent officer1 is: 75/60=1.25[h]=75 [min]. If the officer1 leaves his office at 10:00, the arrival time is 11:15;
3) time which is spent officer2 is: 25/55=5/11[h]≈27[min]. The arrival time is 10:27.
4) finally, the both officers are in the required location at 11:15.
The parabolas y = -x² and y= -x² - 4x + 6 are graphed below. What are the y-values of the solutions to this system of equations?
y= 1,9
y= 1,6
y= -0,6
y= -3,1
Answer:
y = 1, 9.
Step-by-step explanation:
They are the y values of the points of intersection of the 2 parabolas.
y = 1, 9.
Find BC.
plssss helpp!!!
Answer:
BC is 22.5 mi
Step-by-step explanation:
Using the pythagorean theorem formula. c² = a² + b²
BC² = AB² + AC²
BC² = 19² + 12²
BC² = 361 + 144
BC² = 505
√BC² = √505
BC = 22.5
Therefore BC is 22.5 mi
The following lots of Commodity Z were available for sale during the year. Beginning inventory 9 units at $50 First purchase 16 units at $50 Second purchase 21 units at $59 Third purchase 16 units at $62 The firm uses the periodic system, and there are 23 units of the commodity on hand at the end of the year. What is the ending inventory balance at the end of the year according to the FIFO method?
According to the FIFO method, the ending inventory balance for Commodity Z is $1,405
How much inventory is left under FIFO?FIFO means that earlier inventory is sold first and later inventory would be the last goods left.
Since there were 23 units left, all 16 units from the last purchase and 7 units from the second purchase would be available:
= (16 x 62) + (7 x 59)
= 992 + 413
= $1,405
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Which expression is equivalent to √48x5, if x> 0?
A. 12x³√3x
B. 4x³√3
C. 4x²√3x
D. 12x²√
Answer:
C. 4x²√(3x)
Step-by-step explanation:
if x > 0
[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]
[tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]
[tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]
[tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]
[tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]
[tex]=4\times x^{2}\times \sqrt{3x}[/tex]
Which expression is equivalent to this polynomial?
x2+12
OA. (X +2v3i)(c – 2v3i)
OB. (x+6i)(x - 6i)
OC. (x + 2√3)²
OD. (x + 2√3)(x − 2√3)
x² + 12 is equivalent to the polynomial (x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i).
What are Polynomials?Polynomials are defined as algebraic expressions consisting of constants, variables and exponents combined using operations like addition, multiplication, subtraction and division.
The given expression is x² + 12.
We have the identity (a + b) (a - b) = a² - b²
(x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) = x² - (2[tex]\sqrt{3}[/tex]i)²
= x² - (2² × √3² × i²)
We know that i² = -1, where i is the imaginary number in complex numbers
(x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) = x² - (4 × 3 × -1)
= x² + 12
Hence we get that (x + 2[tex]\sqrt{3}[/tex]i) (x + 2[tex]\sqrt{3}[/tex]i) is equivalent to x² + 12.
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What is 3/4 divided by 1/2
Answer:
1 1/2
Step-by-step explanation:
Convert both fractions into decimals
⇒ 3/4 (0.75) and 1/2 (0.50)
Divide the decimals:
⇒0.75 ÷ 0.50
Find the quotient
⇒ 1.5
Convert the quotient to a fraction
⇒ 1 1/2
Terms:
Operations with fractions
Y-6.37x=-3 which of the following function notation corresponds to the equation below
Find the equation of a line that passes through the point (-2,1) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
A straight line passing through the point (-2,1) and having a gradient of -3 yields the equation y = -3x - 5.
We know that a straight line is an infinitely long line with no curves on it. A straight line's equation is
y = mx + c...(1), where m is the gradient of the straight line and c is a constant.
Given that the gradient of the given straight line = m = -3.
Putting this value in (1), we get
y = -3x + c ...(2)
Again, the given straight line passes through the point (-2,1). So, we can put x = -2 and y = 1 to get the value of the constant c.
So, 1 = (-3)(-2) + c
i.e. 6 + c = 1
i.e. c = 1 - 6 = -5
(2) can be written as
y = -3x - 5
Therefore the equation of the given straight line is
y = -3x - 5
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[tex] \displaystyle \sum_{n = 1}^{ \infty } {4}^{ - n} [/tex]
evaluation of the sum above
Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \sum^{\infty}_{n=1} 4^{-n}[/tex]
The sigma notation means to find the sum of the given geometric series where the first term is when n = 1 and the last term is when n = ∞.
To find the first term in the series, substitute n = 1 into the expression:
[tex]\implies a_1=4^{-1}=\dfrac{1}{4}[/tex]
The common ratio of the geometric series can be found by dividing one term by the previous term:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{4^{-2}}{4^{-1}}=\dfrac{1}{4}[/tex]
As | r | < 1 the series is convergent.
When a series is convergent, we can find its sum to infinity (the limit of the series).
Sum to infinity formula:
[tex]S_{\infty}=\dfrac{a}{1-r}[/tex]
where:
a is the first term in the seriesr is the common ratioSubstitute the found values of a and r into the formula:
[tex]S_{\infty}=\dfrac{\frac{1}{4}}{1-\frac{1}{4}}=\dfrac{1}{3}[/tex]
Therefore:
[tex]\displaystyle \sum^{\infty}_{n=1} 4^{-n}=\dfrac{1}{3}[/tex]
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A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things?
What is the equation of the parabola? (3 points)
A) y = -1/8x^2 +5
B) y = 1/8x^2 +5
C) y = 1/8x^2 - 5
D) y = -1/8x^2 -5
Answer:
A.
Step-by-step explanation:
The parabola opens down, so the "a" value (the number in front of x^2) must be negative. The y-intercept is (0, 5) so the constant must be positive 5.
A teacher asked her students how many pets they own. Here
are the results:
0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8
On a piece of paper, draw a dot plot to represent the data.
Then determine which answer choice matches the dot plot
you drew.
Step-by-step explanation:
the answer is (c)
because 0 is 3 in number,
1 is 4 in number,
2 is 3in number
3 is 2 in number,
4 is 2 in number,
no 5,6,7
8 is 1 in number
and no 9
The dot plot ( C )is solved and each dot represents one student's response
What is a dot plot?A dot plot, also known as a dot chart or dot graph, is a type of data visualization that displays the frequency of values in a dataset. It is a simple graphing technique that uses dots to represent data points on a horizontal or vertical axis.
Each data point in the dataset is represented by a dot placed above the corresponding value on the axis. If there are multiple data points with the same value, the dots are stacked vertically above that value. The resulting plot shows the distribution of data points along the axis, with the height of the stack of dots representing the frequency of each value.
Given data ,
Let the data of the number of pets owned by student be represented as A
Now , the value of A = { 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8 }
The frequency of 0 = 3
The frequency of 1 = 4
The frequency of 2 = 3
The frequency of 3 = 2
The frequency of 4 = 2
The frequency of 8 = 1
In this dot plot, each dot represents one student's response. The number on the left indicates how many pets the students reported owning, and the dots are arranged vertically above that number.
For example, three students reported owning 2 pets, so there are three dots arranged above the number 2. This type of plot is useful for displaying the frequency of different values in a dataset.
Hence , the dot plot is solved
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PLEASE HELP ASAP I WILL GIVE BRAINLYEST!!!
Answer:
Step-by-step explanation:
the numerator goes in side of the radical
The graphs below have the same shapes. What is the equation for the red graph?
The equation for the red graph is f(x) = -x².
How to depict the equation?From the information given, g(x) = 4 - x².
The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:
(x, y) = (x, y -4).
The equation of the function will be:
f(x) = g(x) - 4
f(x) = (4 - x²) - 4
f(x) = -x²
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f(x)=1/x at x=1 find slope of tangent
Answer:
f'(1)=-1
Step-by-step explanation:
You can just find the derivative using the power rule for d/dx (x^-1)=-1x^-2=-1/x^2 then find f'(1)=-1.
I used the limit definition of the derivative to find the slope in the picture attached
If xy=3 yz=6 zx=2 find x+y+z
please help with this problem
thanks so much
Answer:
5/17
Step-by-step explanation:
If we do the multiplication first, we get:
[tex]\frac{4-(12\div-12)}{13+(-8\div-2)}[/tex]
If we do the division next, we get:
[tex]\frac{4+1}{13+4} = 5/17[/tex]
6 out of 11 players played well on the baseball team. What percent is it?
Answer: 54%
Step-by-step explanation:
You will need to divide these numbers.
[tex]6/11=0.54[/tex]
After you divide that, simplify that to a percentage by multiplying it by 100.
[tex]0.54 *100=54%[/tex]%
I hope this helps!!
Question 9
Write the equation of the line passing through (3,-17) parallel to 8x - 7y=87
Rewriting the equation of the given line in slope-intercept form,
[tex]8x-7y=87\\\\-7y=-8x+87\\\\7y=8x-87\\\\y=\frac{8}{7}x-\frac{87}{7}[/tex]
The slope of the given line is thus 8/7, and since parallel lines have the same slope, the slope of the line we want to find is also 8/7.
Substituting into point-slope form,
[tex]y+17=\frac{8}{7}(x-3)\\\\y+17=\frac{8}{7}x-\frac{24}[7}\\\\\boxed{y=\frac{8}{7}x-\frac{143}{7}}[/tex]